Question

A square made from a wire of length 44 cm is restructured to form a circle. Find the area of the circle formed.

• A. 154 $c{m}^2$
• B. 44 $c{m}^2$
• C. 84 $c{m}^2$
• D. 200 $c{m}^2$

Answer 1

The correct option is A 154 $c{m}^2$

Perimeter of the square = Perimeter of the circle formed

Given, length of wire used = 44 cm = circumference of the circle

Let r be the radius of the circle.

$\Rightarrow$ 2$\pi$r = 2$\times \frac{22}{7}\times$r = 44 cm

​​​​​​$\Rightarrow$ r = 7 cm

$\therefore$ Area of the circle formed

= $\pi r^2$ = $\frac{22}{7}\times 7\times 7=154c{m}^2$